Image is fuzzy or noisy when rendered in cycles
Increase the number of samples for rendering.

With a higher the number of samples rendered images will be less noisy and more accurate (read this for more info)
Make sure that you are rendering at 100% resolution.

Resolutions lower than 100% might be pixelated


Set emission shaders to Multiple Importance Sampling. 

For more info read this post When should MIS be used and when should it be disabled?



If you are using an image as environment, set it to Multiple Importance Sampling as well.


For a finer control on noise, switch from Path Tracing to Branched Path Tracing




  The branched path tracing integrator [...] will split the path for different surface components and will take all lights into account for shading instead of just one. This makes each sample slower, but will reduce noise, especially in scenes dominated by direct or one-bounce lighting. 


For additional info please read this post: What is branched path tracing and how is it useful?
Check that the samples settings for the render layers are set correctly.



For more info on this settings read: Cycles render, noisy even when using a high number of samples


Besides the noise, your image shows also a common limitation on cycles default color management settings, in which bright lights desaturate in an unrealistic way. See this post: Render with a wider dynamic range in cycles to produce photorealistic looking images